Answer: The equation is y = -6*x
Step-by-step explanation:
I suppose that we want to find the equation for a line that passes through the point (-1, 6) and the origin (remember that the origin is the point (0,0))
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is equal to:
a = (y₂ - y₁)/(x₂ - x₁)
Now we know that our line passes through the points (0, 0) and (-1, 6), then the slope is:
a = (6 - 0)/(-1 - 0) = 6/-1 = -6
Then our equation is something like:
y = -6*x + b
To find the value of b we can use the fact that this line passes through the point (0, 0).
This means that when x = 0, y is also equal to zero.
If we replace these values in the equation we get:
0 = -6*0 + b
0 = b
Then our equation is:
y = -6*x
Answer:
-51
Step-by-step explanation:
PEMDAS suggests you start with parenthesis
10+9•(-3)2-(7)
10-(27)2-(7)
10-54-7
-51
Answer: 3(x-3y)
Step-by-step explanation: first you have to take the 3x and split it up so it can make 3(x-3y) then you have to rewrite it to -9 as 3x3 and then factor out common term 3 which would be your final answer 3(x-3y)
Answer:
The option which is used to inscribe a square in a circle is option B
B. Construct a perpendicular bisector of the diameter of the circle
Step-by-step explanation:
The steps required to inscribe a square in a circle are;
1) Draw the circle using a compass
2) Draw the diameter of the circle, that passes through the center of the circle with a straight edge label the endpoint of the diameter X and Y
3) Construct the line perpendicular to the diameter of the circle and label the endpoints as A and B
The figure formed by joining the endpoints X, Y, A, and B is the inscribed square of the circle
Therefore, the correct option is to construct a perpendicular bisector of the diameter of the circle.
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
60 seconds x 60 minutes = 3,600 seconds per hour
3,600 seconds per hour x 24 hours = 86,400 seconds per day.
The light flashes 5 times every 10 seconds:
5 flashes / 10 seconds = 1 flash every 2 seconds
86,400 seconds / 2 seconds = 43,200 flashes per day.
